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Finding the Fourth Proportional to 4,349.07, 6,514.80 and 3,473.06

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Solution

The fourth proportional to 4,349.07, 6,514.80 and 3,473.06 is: 5,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.07 : 6,514.80 = 3,473.06 : x
  2. Step 2: Convert to fraction form
    4,349.07/6,514.80 = 3,473.06/x
  3. Step 3: Cross multiply
    4,349.07x = 6,514.80 × 3,473.06
  4. Step 4: Simplify right side
    4,349.07x = 22,626,258.71
  5. Step 5: Solve for x
    x = 22,626,258.71/4,349.07
  6. Step 6: Final answer
    x = 5,202.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.